Quiz about Lago Dilations

Question 1

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

Accepted Answer

(3, -1.5)

Answer

(-1, -2.5)

Answer

(12, 6)

Answer

(0, 1.5)

Question 2

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 1/2.

Question 3

If the scale factor is greater than 1, the dilation is...

Accepted Answer

an enlargement

Answer

a rotation

Answer

a translation

Answer

a reduction

Question 4

If the scale factor is less than 1, the dilation is...

Accepted Answer

a reduction

Answer

an enlargement

Answer

a translation

Answer

a rotation

Question 5

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's an enlargement; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 2.

Question 6

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?

Accepted Answer

(-5, 5)

Answer

(5, -5)

Answer

(5, 10)

Answer

(7.5, -2.5)

Question 7

Triangle ABC is dilated so that the coordinates of C' are (2, -1).  What was the scale factor of the dilation?

Accepted Answer

1/3

Answer

3

Answer

2

Answer

1/2

Question 8

Polygon ABCDE will be dilated by a scale factor of 2. Which statement is NOT true of the dilation?

Accepted Answer

The pre-image and the image will be congruent.

Answer

The corresponding angles of the two polygons will be congruent.

Answer

The dilation will be an enlargement.

Answer

The corresponding sides of the two polygons will be proportional.

Question 9

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is 1/3.

Answer

It's an enlargement; the scale factor is 3.

Answer

It's a reduction; the scale factor is 1/2.

Answer

It's an enlargement; the scale factor is 2.

Question 10

Which could be the rule used to dilate ABC to A'B'C'?

Accepted Answer

(1/3 x, 1/3 y)

Answer

(5x, 5y)

Answer

(3x, 3y)

Answer

(2x, 2y)

Question 11

Circle I is dilated to create Circle II.  Which could be the scale factor of the dilation?

Accepted Answer

8/3

Answer

5

Answer

3/8

Answer

8

Question 12

Dilation rules use ______________ to change the ___________ of a shape.

Accepted Answer

multiplication; size

Answer

addition; location

Answer

division; direction

Answer

subtraction; orientation

Question 13

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's an enlargement; the scale factor is 3/2.

Answer

It's an enlargement; the scale factor is 2.

Answer

It's a reduction; the scale factor is 2/3.

Answer

It's a reduction; the scale factor is 3.

Question 14

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

only an enlargement

Answer

only a reduction

Answer

Neither an enlargement or a reduction

Question 15

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

Accepted Answer

B' (8 ,18)

Answer

B' (2 , 4.5)

Answer

B' (-8 ,-18)

Answer

B' (9 ,4)

Question 16

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

Accepted Answer

(6, 12)

Answer

(3, 6)

Answer

(1.5, 3)

Answer

(12, 6)

Question 17

How do you write the algebraic notation when the scale factor is 3?

Accepted Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (1/3x, 1/3y)

Answer

(x, y) --> (-3x, -3y)

Answer

(x, y) --> (x + 3, y + 3)

Question 18

In a dilation what mathematical operation is used with the scale factor?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 19

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

Accepted Answer

G' (-5,-3)

Answer

G' (5,3)

Answer

G' (20,12)

Answer

G' (-20,-12)

Question 20

Similar figures have the same ______ but different ______.

Accepted Answer

shape; sizes

Answer

measure; shapes

Answer

sizes; shapes

Answer

value; measures

Question 21

Dilations only enlarge figures.

Accepted Answer

False

Answer

True

Question 22

A dilation creates a similar figure.

Accepted Answer

True

Answer

False

Question 23

A dilation can produce a smaller figure also known as a ______

Accepted Answer

reduction

Answer

enlargement

Answer

scale factor

Answer

center of dilation

Question 24

A dilation can produce a larger figure also known as a ______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 25

If a dilation produces a congruent figure, then the scale factor was equal to _____.

Accepted Answer

1

Answer

1/2

Answer

2

Answer

10

Question 26

Definition: The figure after a transformation has occurred.

Accepted Answer

Image

Answer

Pre-image

Answer

Translation

Answer

Reflection

Question 27

Definition: The figure before a transformation has occurred.

Accepted Answer

Pre-image

Answer

Image

Answer

Translation

Answer

Reflection

Question 28

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

Accepted Answer

Yes, enlarge

Answer

Yes, reduce

Answer

No

Question 29

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 30

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

Accepted Answer

(8,18)

Answer

(2,4.5)

Answer

(-8,-18)

Answer

(9,4)

Question 31

State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered at point A.

Accepted Answer

(-4,6)

Answer

(-4,2)

Answer

(-8,4)

Answer

(-2,-2)

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